On the higher derivatives of the inverse tangent function
Classical Analysis and ODEs
2017-12-12 v1
Abstract
In this paper, we find explicit formulas for higher order derivatives of the inverse tangent function. More precisely, we study polynomials which are induced from the higher-order derivatives of arctan(x). Successively, we give generating functions, recurrence relations and some particular properties for these polynomials. Connections to Chebyshev, Fibonacci, Lucas and Matching polynomials are established.
Keywords
Cite
@article{arxiv.1712.03521,
title = {On the higher derivatives of the inverse tangent function},
author = {Mohamed Amine Boutiche and Mourad Rahmani},
journal= {arXiv preprint arXiv:1712.03521},
year = {2017}
}